Reminder - High Energy Physics Seminars TODAY - Anand

[HECAP - Margherita Di Giovannantonio]

*_HIGH ENERGY PHYSICS SEMINARS_**__*


*Tuesday, 18 November *2025, at *16:00* - *L. Stasi Seminar 
Room***-*https://indico.ictp.it/event/11224/*

Harsh Anand (TIFR, Mumbai)


*“Semi-Universality of CFT_4 Entropy at Large J"*
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_Abstract_

The thermal partition function, Z, of a CFT_4 on S^{3} is parameterized 
by the inverse temperature $\beta$ along with 2 angular velocities 
$\omega_i$. In this project we investigate the behaviour of this 
partition function when the $\omega_i$ are scaled to unity (the largest 
allowed value). We argue that \ln Z develops a simple pole in 
(1-\omega_i). The residue of this product of poles is a theory dependent 
(so non universal) function of $\beta$ and the fixed angular velocities. 
The Legendre transformation of this partition function constrains the 
functional form of the field theory entropy as a function of charges in 
a limit in which angular momenta and the twist are scaled as follows. 
While the angular momenta are scaled to infinity, the twist T is also 
taken to infinity but at the slower rate such that the scaled twist 
$T/(J1J2)^{\frac{1}{3}}$ is held fixed. In this limit we demonstrate 
that the scaled entropy $S/(J_1 J_2 )^{\frac{1}{3}}$ depends only on the 
scaled twist (the precise form of this dependence is non universal). We 
verify our predictions (and compute all non universal functions) in the 
case of free scalar theories, as well as large $N$, strongly coupled 
${\cal N}=4$ Yang Mills theory. The last theory is analyzed in the bulk 
via the AdS/CFT correspondence. In the scaling limit described above, 
its phase diagram displays sharp phase transitions between black hole, 
grey galaxy and thermal gas phases.}.

To attend via _*Zoom*_, please *_register_* here:
https://zoom.us/meeting/register/3xdFziT_Q3SEndm-eOE2SA